My Math Forum  

Go Back   My Math Forum > High School Math Forum > Algebra

Algebra Pre-Algebra and Basic Algebra Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 3rd, 2010, 11:04 AM   #1
Newbie
 
Joined: Mar 2010

Posts: 13
Thanks: 0

Circle in an angle

Hello,

given is a triangle ABC. A circle with center D is tangent to BC, AB and AC at points that lie outside the given triangle. Show that AD passes through the circumcircle of triangle BCD.

I have no idea how to attempt this. Thanks for help.
atreyyu is offline  
 
May 3rd, 2010, 01:24 PM   #2
Global Moderator
 
Joined: Dec 2006

Posts: 20,375
Thanks: 2010

The wording "through the circumcircle" should have been "through the circumcentre". The circumcircle of triangle BCD passes through the incentre, I, of triangle ABC, has ID as a diameter, and the midpoint of ID as its centre, which therefore lies on AD.
skipjack is offline  
Reply

  My Math Forum > High School Math Forum > Algebra

Tags
angle, circle



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
angle in a circle wannaknow Algebra 6 February 22nd, 2014 12:36 PM
Two equals Sides. One Angle. In a CIRCLE. yogazen2013 Algebra 1 August 24th, 2013 01:30 PM
Relationship between angle in a cone and circle? rozze Art 5 January 24th, 2012 02:06 PM
Find equation of a circle given two points and an arc angle Megatron Algebra 2 September 30th, 2011 07:18 PM
How to find the angle for a given point in a circle sekar Algebra 3 March 24th, 2009 01:02 PM





Copyright © 2019 My Math Forum. All rights reserved.